What is the answer to 2=log_{t}(25) ?

The answer to 2=log_{t}(25) is t=5

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2=log_{t}(25)

2 = lo g_{t} (25)

t = 5

Solution steps

2 = lo g_{t} (25)

Apply log rules

2 = \frac{1}{lo g _{25} ( t )}

Multiply both sides by

lo g_{25} (t)

2 lo g_{25} (t) = \frac{1}{lo g _{25} ( t )} lo g_{25} (t)

Simplify

2 lo g_{25} (t) = 1

Divide both sides by

2

lo g_{25} (t) = \frac{1}{2}

Apply log rules

t = 5

Verify Solutions:

t = 5

True

The solution is

t = 5

0 = - lo g_{3} (x)

ln (x) = 90

lo g_{e} (x^{2} - 3 x - 27) = 0

lo g_{8} (2 x - 3) = 0

- lo g_{10} (x) = 2.9